Datrys left(1+6xright)left(2+3xright)-left(2-3xright)^2-(-3x-1)

$$\left( 1+6x \right) \left( 2+3x \right) - { \left(2-3x \right) }^{ 2 } -(-3x-1)$$

Enrhifo

$$9x^{2}+30x-1$$

Camau Ateb

Defnyddio’r briodwedd ddosbarthu i luosi 1+6x â 2+3x a chyfuno termau tebyg.

$$2+15x+18x^{2}-\left(2-3x\right)^{2}-\left(-3x-1\right)$$

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(2-3x\right)^{2}.

$$2+15x+18x^{2}-\left(4-12x+9x^{2}\right)-\left(-3x-1\right)$$

I ddod o hyd i wrthwyneb 4-12x+9x^{2}, dewch o hyd i wrthwyneb pob term.

$$2+15x+18x^{2}-4+12x-9x^{2}-\left(-3x-1\right)$$

Tynnu 4 o 2 i gael -2.

$$-2+15x+18x^{2}+12x-9x^{2}-\left(-3x-1\right)$$

Cyfuno 15x a 12x i gael 27x.

$$-2+27x+18x^{2}-9x^{2}-\left(-3x-1\right)$$

Cyfuno 18x^{2} a -9x^{2} i gael 9x^{2}.

$$-2+27x+9x^{2}-\left(-3x-1\right)$$

I ddod o hyd i wrthwyneb -3x-1, dewch o hyd i wrthwyneb pob term.

$$-2+27x+9x^{2}+3x+1$$

Cyfuno 27x a 3x i gael 30x.

$$-2+30x+9x^{2}+1$$

Adio -2 a 1 i gael -1.

$$-1+30x+9x^{2}$$

Ehangu

$$9x^{2}+30x-1$$

Camau Ateb

Defnyddio’r briodwedd ddosbarthu i luosi 1+6x â 2+3x a chyfuno termau tebyg.

$$2+15x+18x^{2}-\left(2-3x\right)^{2}-\left(-3x-1\right)$$

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(2-3x\right)^{2}.

$$2+15x+18x^{2}-\left(4-12x+9x^{2}\right)-\left(-3x-1\right)$$

I ddod o hyd i wrthwyneb 4-12x+9x^{2}, dewch o hyd i wrthwyneb pob term.

$$2+15x+18x^{2}-4+12x-9x^{2}-\left(-3x-1\right)$$

Tynnu 4 o 2 i gael -2.

$$-2+15x+18x^{2}+12x-9x^{2}-\left(-3x-1\right)$$

Cyfuno 15x a 12x i gael 27x.

$$-2+27x+18x^{2}-9x^{2}-\left(-3x-1\right)$$

Cyfuno 18x^{2} a -9x^{2} i gael 9x^{2}.

$$-2+27x+9x^{2}-\left(-3x-1\right)$$

I ddod o hyd i wrthwyneb -3x-1, dewch o hyd i wrthwyneb pob term.

$$-2+27x+9x^{2}+3x+1$$

Cyfuno 27x a 3x i gael 30x.

$$-2+30x+9x^{2}+1$$

Adio -2 a 1 i gael -1.

$$-1+30x+9x^{2}$$